These worksheets will teach your students how to regroup algebraic expressions using the associative property.

This property of operations comes into play when ever you have a string of numbers that are either being multiplied or added. It tells use that the order in which you group or approach the problem does not really matter. For example: 3 + 6 +8 +2 has the same result as if you added the numbers in this form: 6 + 3 +2 + 8. The same applies to multiplication. If we were to multiply 7 with 5 and 4, we could arrange it as 7 x 5 x 4 or 5 x 4 x 7. The final product would be the same regardless of how we arranged it. Note that this does not apply to division or subtraction. As we move into algebra we run into unknown variables, but the operations are the same and this property has the same place. If add or multiply variables, it does not matter how we assemble them. For example, a + b + c = c + a + b. We make heavy use of this property to help us reorganize equations into forms that are easier to work with.

This solid and detailed section of worksheets will help you to learn how to use the associative property to regroup algebraic expressions, both in adding and in multiplying. This set of worksheets introduces your students to the concept of the associative property, provides examples, short practice sets, longer sets of questions, and quizzes. The associative property helps students transition into early algebra concepts and starts them thinking up that alley. The following worksheets will help your students to understand how to manipulate equations using the associative property.

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Print Associative Property Worksheets

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Associative Property - Lesson

Learn how to rewrite equations using the associative property. Example: (4 + 5) + 3

Worksheet 1

Rewrite these equations to help make them more manageable to work with. Example: a + (m + d)

Worksheet 2

We focus on a mix of numbers and variables used on this sheet. Example: 8 + (2 + 5)

Review Sheet

Practice rewriting the following 6 equations by using what you have learned so far. Example: w(gs)

Associative Property - Quiz

Rewrite these 10 equations that need your love and care to organize. Example: T x (a x h)

"Do Now"

Complete these 3 problems dealing with associative properties and put your answers in the "My Answer" box. This can be done with the whole class as a reminder or quick refresher.

Lesson

This worksheet explains how to rewrite equations using the associative properties of addition and multiplication. A sample problem is solved.

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Lesson and Practice

The associative property of addition says that when we add more than two numbers the grouping of the addends does not change the sum. The associative property of multiplication says that when we multiply more than two numbers the grouping of the factors does not change the product.

Rewrite Using Associative Property Worksheet

Students will rewrite equations using the skills that they have learned. Ten problems are provided.

Practice

We will get even more work on these skills. Ten problems are provided.

Warm Up

A great way to get these skills amped up as an entire class. Three problems are provided.

How to Rewrite Equations Using the Associative Property

We use parentheses to group a different pair of numbers together. Meanwhile, we use associative property while rewriting any number in an expression. Associative Property - With respect to addition: If you are changing the order, the answer will not change. If you have real numbers a, b, c, then, the equation will be like; ( a + b ) + c = a + ( b + c). With respect to multiplication: The result will also be the same while changing the order of the multiplicative numbers. We will suppose the same thing while finding the following expression that is; 5 × 1/3 × 3. Here, we will get the same result by changing the order of the expression. For example; (5 × 1/3) × 3 = (5/3) × 3 = 5 | 5 × ( 1/3 × 3 ) = 5 × 1 = 5. If you have a, b, c as a real number while multiplying the expressions, the equation will be; ( a × b ) × c = a × ( b × c). Rewriting the Equations - With respect to addition: (3+ 0.6) + 0.4. Change the grouping or order -> 3 + ( 0.6 + 0.4 ) = 1. With respect to multiplication: ( - 4 × 2/5 ) × 15 = .Change the order or grouping -> - 4 × ( 2/5 × 15) = 6.